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Finding the Fourth Proportional to 242,449.89, 334,408.75 and 205,898.95

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Solution

The fourth proportional to 242,449.89, 334,408.75 and 205,898.95 is: 283,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,449.89 : 334,408.75 = 205,898.95 : x
  2. Step 2: Convert to fraction form
    242,449.89/334,408.75 = 205,898.95/x
  3. Step 3: Cross multiply
    242,449.89x = 334,408.75 × 205,898.95
  4. Step 4: Simplify right side
    242,449.89x = 68,854,410,495.81
  5. Step 5: Solve for x
    x = 68,854,410,495.81/242,449.89
  6. Step 6: Final answer
    x = 283,994.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.